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Finding the Fourth Proportional to 543.87, 814.74 and 360.72

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Solution

The fourth proportional to 543.87, 814.74 and 360.72 is: 540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.87 : 814.74 = 360.72 : x
  2. Step 2: Convert to fraction form
    543.87/814.74 = 360.72/x
  3. Step 3: Cross multiply
    543.87x = 814.74 × 360.72
  4. Step 4: Simplify right side
    543.87x = 293,893.01
  5. Step 5: Solve for x
    x = 293,893.01/543.87
  6. Step 6: Final answer
    x = 540.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.